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In this article we first correct a recent misconception about a topology that was suggested by Zeeman as a possible alternative to his Fine topology. This misconception appeared while trying to establish the causality in the ambient…

Mathematical Physics · Physics 2018-03-12 Kyriakos Papadopoulos , Santanu Acharjee , Basil K. Papadopoulos

Learning visual features from unlabeled image data is an important yet challenging task, which is often achieved by training a model on some annotation-free information. We consider spatial contexts, for which we solve so-called jigsaw…

Computer Vision and Pattern Recognition · Computer Science 2018-12-04 Chen Wei , Lingxi Xie , Xutong Ren , Yingda Xia , Chi Su , Jiaying Liu , Qi Tian , Alan L. Yuille

Detecting poorly textured objects and estimating their 3D pose reliably is still a very challenging problem. We introduce a simple but powerful approach to computing descriptors for object views that efficiently capture both the object…

Computer Vision and Pattern Recognition · Computer Science 2017-11-15 Paul Wohlhart , Vincent Lepetit

In this paper, we propose a deep hierarchical attention context model for lossless attribute compression of point clouds, leveraging a multi-resolution spatial structure and residual learning. A simple and effective Level of Detail (LoD)…

Computer Vision and Pattern Recognition · Computer Science 2025-04-02 Yueru Chen , Wei Zhang , Dingquan Li , Jing Wang , Ge Li

This paper concentrates on the homogeneous (conformal) model of Euclidean space (Horosphere) with subspaces that intuitively correspond to Euclidean geometric objects in three dimensions. Mathematical details of the construction and…

Rings and Algebras · Mathematics 2013-06-06 Eckhard Hitzer

Spontaneous self-organization is ubiquitous in systems far from thermodynamic equilibrium. While organized structures that emerge dominate transport properties, universal representations that identify and describe these key objects remain…

Computational Physics · Physics 2023-09-29 Adam Rupe , Karthik Kashinath , Nalini Kumar , James P. Crutchfield

Protein-ligand binding prediction is central to virtual screening and affinity ranking, two fundamental tasks in drug discovery. While recent retrieval-based methods embed ligands and protein pockets into Euclidean space for…

Machine Learning · Computer Science 2025-11-25 Jianhui Wang , Wenyu Zhu , Bowen Gao , Xin Hong , Ya-Qin Zhang , Wei-Ying Ma , Yanyan Lan

Linear topological spaces with partial ordering (linear kinematics) are studied. They are defined by a set of 8 axioms implying that topology, linear structure and ordering are compatible with each other. Most of the results are valid for…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Victor Revoltovich Krym

We introduce an analogue of the theory of length spaces into the setting of Lorentzian geometry and causality theory. The r\^ole of the metric is taken over by the time separation function, in terms of which all basic notions are…

Differential Geometry · Mathematics 2019-11-07 Michael Kunzinger , Clemens Sämann

People easily recognize new visual categories that are new combinations of known components. This compositional generalization capacity is critical for learning in real-world domains like vision and language because the long tail of new…

Computer Vision and Pattern Recognition · Computer Science 2020-11-03 Yuval Atzmon , Felix Kreuk , Uri Shalit , Gal Chechik

Predictive world models that simulate future observations under explicit camera control are fundamental to interactive AI. Despite rapid advances, current systems lack spatial persistence: they fail to maintain stable scene structures over…

Computer Vision and Pattern Recognition · Computer Science 2026-02-24 Chendong Xiang , Jiajun Liu , Jintao Zhang , Xiao Yang , Zhengwei Fang , Shizun Wang , Zijun Wang , Yingtian Zou , Hang Su , Jun Zhu

Hierarchical text classification (HTC) is a special sub-task of multi-label classification (MLC) whose taxonomy is constructed as a tree and each sample is assigned with at least one path in the tree. Latest HTC models contain three…

Computation and Language · Computer Science 2024-08-13 Zhijian Chen , Zhonghua Li , Jianxin Yang , Ye Qi

Detecting novel objects without class information is not trivial, as it is difficult to generalize from a small training set. This is an interesting problem for underwater robotics, as modeling marine objects is inherently more difficult in…

Computer Vision and Pattern Recognition · Computer Science 2019-07-02 Matias Valdenegro-Toro

Few-shot object detection (FSOD) aims to classify and detect few images of novel categories. Existing meta-learning methods insufficiently exploit features between support and query images owing to structural limitations. We propose a…

Computer Vision and Pattern Recognition · Computer Science 2022-12-15 Dongwoo Park , Jong-Min Lee

Adversarial attacks aim to perturb images such that a predictor outputs incorrect results. Due to the limited research in structured attacks, imposing consistency checks on natural multi-object scenes is a promising yet practical defense…

Computer Vision and Pattern Recognition · Computer Science 2023-03-09 Buyu Liu , BaoJun , Jianping Fan , Xi Peng , Kui Ren , Jun Yu

The appearance of the same object may vary in different scene images due to perspectives and occlusions between objects. Humans can easily identify the same object, even if occlusions exist, by completing the occluded parts based on its…

Computer Vision and Pattern Recognition · Computer Science 2022-11-28 Tonglin Chen , Bin Li , Zhimeng Shen , Xiangyang Xue

Humans perceive the 3D world as a set of distinct objects that are characterized by various low-level (geometry, reflectance) and high-level (connectivity, adjacency, symmetry) properties. Recent methods based on convolutional neural…

Computer Vision and Pattern Recognition · Computer Science 2020-04-03 Despoina Paschalidou , Luc van Gool , Andreas Geiger

World models compress rich sensory streams into compact latent codes that anticipate future observations. We let separate agents acquire such models from distinct viewpoints of the same environment without any parameter sharing or…

Computer Vision and Pattern Recognition · Computer Science 2026-04-20 Haoran Zhang , Youjin Wang , Yi Duan , Rong Fu , Dianyu Zhao , Sicheng Fan , Shuaishuai Cao , Wentao Guo , Xiao Zhou

Modern computer vision applications rely on learning-based perception modules parameterized with neural networks for tasks like object detection. These modules frequently have low expected error overall but high error on atypical groups of…

Computer Vision and Pattern Recognition · Computer Science 2022-04-22 Cinjon Resnick , Or Litany , Amlan Kar , Karsten Kreis , James Lucas , Kyunghyun Cho , Sanja Fidler

Most of cosmological observables are light-propagated. I will present coordinates adapted to the propagation of null-like signals as observed by a geodesic observer. These "geodesic light-cone (GLC) coordinates" are general, adapted to…

Cosmology and Nongalactic Astrophysics · Physics 2015-09-01 Fabien Nugier
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